Kim will reportedly, external void an insurance policy payout of $10m (£7.89m) in order to return to the circuit.
“He oozes incredible talent. The world has seen it in the past and now it is an honour as commissioner of LIV Golf to give the opportunity for this star to be reborn,” added Norman.
“Welcome back and to the LIV Golf family, mate.”
Kim, a three-time winner on the PGA tour, will compete for the £15.7m prize fund on March 1 in Jeddah.
The American’s last competitive appearance came at the Wells Fargo Championship in 2012, when he withdrew from the first round.
In 2008, Kim became the first American under the age of 25 since Tiger Woods to win two PGA Tour events in the same year.
Kim was the youngest member of the United States’ victorious 2008 Ryder Cup side, taking 2.5 points from four matches during Europe’s defeat at Valhalla.